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Finding the Fourth Proportional to 10,020.78, 13,822.29 and 8,036.10

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Solution

The fourth proportional to 10,020.78, 13,822.29 and 8,036.10 is: 11,084.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,020.78 : 13,822.29 = 8,036.10 : x
  2. Step 2: Convert to fraction form
    10,020.78/13,822.29 = 8,036.10/x
  3. Step 3: Cross multiply
    10,020.78x = 13,822.29 × 8,036.10
  4. Step 4: Simplify right side
    10,020.78x = 111,077,304.67
  5. Step 5: Solve for x
    x = 111,077,304.67/10,020.78
  6. Step 6: Final answer
    x = 11,084.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.